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Finding the Fourth Proportional to 231,592.40, 347,404.80 and 98,457.56

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Solution

The fourth proportional to 231,592.40, 347,404.80 and 98,457.56 is: 147,693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,592.40 : 347,404.80 = 98,457.56 : x
  2. Step 2: Convert to fraction form
    231,592.40/347,404.80 = 98,457.56/x
  3. Step 3: Cross multiply
    231,592.40x = 347,404.80 × 98,457.56
  4. Step 4: Simplify right side
    231,592.40x = 34,204,628,940.29
  5. Step 5: Solve for x
    x = 34,204,628,940.29/231,592.40
  6. Step 6: Final answer
    x = 147,693.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.